Some uncertainties of neutrino oscillation effect in the NO$\nu$A experiment
Lyudmila D. Kolupaeva (1, 2), Konstantin S. Kuzmin (1, 3), Olga, N. Petrova (2), Igor M. Shandrov (2) ((1) Dubna, JINR, (2) Moscow State U.,, (3) Moscow, ITEP)

TL;DR
This paper investigates uncertainties in neutrino oscillation measurements in the NO$ u$A experiment, focusing on matter effects and cross section uncertainties, and discusses their impact on determining neutrino properties.
Contribution
It provides an analysis of how matter effects and cross section uncertainties influence NO$ u$A's sensitivity to neutrino mass hierarchy and CP violation.
Findings
Uncertainties in matter effects affect oscillation measurements.
Cross section uncertainties impact sensitivity to neutrino parameters.
Results inform future experimental precision requirements.
Abstract
Uncertainties related to the effect of neutrino coherent forward scattering in Earth's matter (MSW mechanism) and with the cross sections of quasi-elastic neutrino scattering on nuclear targets of the NOA detectors are studied. The NOA sensitivity to the neutrino mass hierarchy and the CP violating phase is discussed.
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